Question

Can someone give me an explanation of how to do this.

Answer 1

`\bf √(6x^2)\cdot √(18x^2)\implies √((6x^2)(18x^2))\implies √(108x^2x^2)\implies √(108(x^2)^2) \\\\\\ \begin{cases} 108=&2\cdot 2\cdot 3\cdot 3\cdot 3\\ &2^2\cdot 3^2\cdot 3\\ &(2\cdot 3)^2\cdot 3\\ &6^2\cdot 3 \end{cases}\implies √(6^2(x^2)^2\cdot 3)\implies 6x^2√(3)`

Answer 2

the correct answer is option D. 6x²√3

Explanation:

It is given that

√6x² * √18x²

To find the value of √6x² * √18x²

√6x² * √18x² = √(6x² ) * (18x²)

= √(6 * 18 x² *x²)

= √(6 * 6 * 3 x² *x²)

= 6x√3

The equivalent of √6x² * √18x² = 6x²√3

Therefore the correct answer is option D. 6x²√3